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Finding the Fourth Proportional to 12,702.69, 19,055.27 and 4,381.61

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Solution

The fourth proportional to 12,702.69, 19,055.27 and 4,381.61 is: 6,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.69 : 19,055.27 = 4,381.61 : x
  2. Step 2: Convert to fraction form
    12,702.69/19,055.27 = 4,381.61/x
  3. Step 3: Cross multiply
    12,702.69x = 19,055.27 × 4,381.61
  4. Step 4: Simplify right side
    12,702.69x = 83,492,677.26
  5. Step 5: Solve for x
    x = 83,492,677.26/12,702.69
  6. Step 6: Final answer
    x = 6,572.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.